//
// Created by beliefsky on 2023/7/8.
//
#include "number_common.h"

static void f64_bin_to_dec(
        sky_u64_t sig_raw,
        sky_u32_t exp_raw,
        sky_u64_t sig_bin,
        sky_i32_t exp_bin,
        sky_u64_t *sig_dec,
        sky_i32_t *exp_dec
);

static sky_u8_t f64_encode_trim(const sky_uchar_t *src, sky_u8_t len);


sky_api sky_u8_t
sky_f32_to_str(sky_f32_t data, sky_uchar_t *out) {
    return sky_f64_to_str((sky_f64_t) data, out);
}

sky_api sky_u8_t
sky_f64_to_str(sky_f64_t data, sky_uchar_t *out) {
    sky_u64_t raw;
    sky_memcpy8(&raw, &data);
    const sky_u64_t sig_raw = raw & SKY_U64(0x000FFFFFFFFFFFFF);
    const sky_u32_t exp_raw = (raw & SKY_U64(0x7FF0000000000000)) >> 52;
    const sky_bool_t sign = raw >> 63;


    if (sky_unlikely(exp_raw == (1 << 11) - 1)) {
        sky_memcpy4(out, "null");
        return 4;
    }

    *out = '-';
    out += sign;
    if (raw == 0) {
        *out = '0';

        return (sky_u8_t) (sig_raw + 1);
    }
    if (sky_likely(exp_raw != 0)) {
        const sky_u64_t sig_bin = sig_raw | (SKY_U64(1) << 52);
        const sky_i32_t exp_bin = (sky_i32_t) exp_raw - 1023 - 52;

        sky_u64_t sig_dec;
        sky_i32_t exp_dec;
        f64_bin_to_dec(sig_raw, exp_raw, sig_bin, exp_bin, &sig_dec, &exp_dec);

        sky_u8_t i = 17;
        i -= (sky_u8_t) (sig_dec < (SKY_U64(100000000) * 100000000));
        i -= (sky_u8_t) (sig_dec < (SKY_U64(100000000) * 10000000));

        const sky_i32_t dot_pos = i + exp_dec;

        if (-6 < dot_pos && dot_pos <= 17) {
            if (dot_pos <= 0) {
                sky_memcpy8(out, "0.000000");
                const sky_u8_t offset = (sky_u8_t) (2 - dot_pos);
                out += offset;

                i = sky_u64_to_str(sig_dec, out);
                i = f64_encode_trim(out, i);

                return i + offset;
            }
            i = sky_u64_to_str(sig_dec, out);
            if (exp_dec == 1) {
                out += 16;
                *out = '0';

                return 17;
            }
            i = f64_encode_trim(out, i);
            out += dot_pos;
            if (dot_pos >= i) {
                return (sky_u8_t) dot_pos + sign;
            }
            const sky_u8_t j = (sky_u8_t) (i - dot_pos);
            sky_memmove(out + 1, out, j);
            *out = '.';

            return i + sign + 1;
        }

        ++out;
        i = sky_u64_to_str(sig_dec, out);
        i = f64_encode_trim(out, i);

        *(out - 1) = *out;
        if (i > 1) {
            *out = '.';
            out += i;
            i += 2;
        } else {
            ++i;
        }
        *out++ = 'e';

        i += sky_i32_to_str(dot_pos - 1, out);

        return i + sign;
    }

    const sky_u64_t sig_bin = sig_raw;
    const sky_i32_t exp_bin = 1 - 1023 - 52;

    sky_u64_t sig_dec;
    sky_i32_t exp_dec;
    f64_bin_to_dec(sig_raw, exp_raw, sig_bin, exp_bin, &sig_dec, &exp_dec);

    ++out;
    sky_u8_t i = sky_u64_to_str(sig_dec, out);
    exp_dec += i - 1;
    i = f64_encode_trim(out, i);

    *(out - 1) = *out;
    if (i > 1) {
        *out = '.';
        out += i;
        i += 2;
    } else {
        ++i;
    }
    *out++ = 'e';

    i += sky_i32_to_str(exp_dec, out);

    return i + sign;
}


static sky_inline sky_u64_t
round_to_odd(const sky_u64_t hi, const sky_u64_t lo, const sky_u64_t cp) {
    sky_u64_t x_hi, x_lo, y_hi, y_lo;
    u128_mul(cp, lo, &x_hi, &x_lo);
    u128_mul_add(cp, hi, x_hi, &y_hi, &y_lo);

    return y_hi | (y_lo > 1);
}

static void
f64_bin_to_dec(
        sky_u64_t sig_raw,
        sky_u32_t exp_raw,
        sky_u64_t sig_bin,
        sky_i32_t exp_bin,
        sky_u64_t *sig_dec,
        sky_i32_t *exp_dec
) {

    static const sky_u64_t pow10_sig_table[] = {
            SKY_U64(0xBF29DCABA82FDEAE), SKY_U64(0x7432EE873880FC33), /* ~= 10^-343 */
            SKY_U64(0xEEF453D6923BD65A), SKY_U64(0x113FAA2906A13B3F), /* ~= 10^-342 */
            SKY_U64(0x9558B4661B6565F8), SKY_U64(0x4AC7CA59A424C507), /* ~= 10^-341 */
            SKY_U64(0xBAAEE17FA23EBF76), SKY_U64(0x5D79BCF00D2DF649), /* ~= 10^-340 */
            SKY_U64(0xE95A99DF8ACE6F53), SKY_U64(0xF4D82C2C107973DC), /* ~= 10^-339 */
            SKY_U64(0x91D8A02BB6C10594), SKY_U64(0x79071B9B8A4BE869), /* ~= 10^-338 */
            SKY_U64(0xB64EC836A47146F9), SKY_U64(0x9748E2826CDEE284), /* ~= 10^-337 */
            SKY_U64(0xE3E27A444D8D98B7), SKY_U64(0xFD1B1B2308169B25), /* ~= 10^-336 */
            SKY_U64(0x8E6D8C6AB0787F72), SKY_U64(0xFE30F0F5E50E20F7), /* ~= 10^-335 */
            SKY_U64(0xB208EF855C969F4F), SKY_U64(0xBDBD2D335E51A935), /* ~= 10^-334 */
            SKY_U64(0xDE8B2B66B3BC4723), SKY_U64(0xAD2C788035E61382), /* ~= 10^-333 */
            SKY_U64(0x8B16FB203055AC76), SKY_U64(0x4C3BCB5021AFCC31), /* ~= 10^-332 */
            SKY_U64(0xADDCB9E83C6B1793), SKY_U64(0xDF4ABE242A1BBF3D), /* ~= 10^-331 */
            SKY_U64(0xD953E8624B85DD78), SKY_U64(0xD71D6DAD34A2AF0D), /* ~= 10^-330 */
            SKY_U64(0x87D4713D6F33AA6B), SKY_U64(0x8672648C40E5AD68), /* ~= 10^-329 */
            SKY_U64(0xA9C98D8CCB009506), SKY_U64(0x680EFDAF511F18C2), /* ~= 10^-328 */
            SKY_U64(0xD43BF0EFFDC0BA48), SKY_U64(0x0212BD1B2566DEF2), /* ~= 10^-327 */
            SKY_U64(0x84A57695FE98746D), SKY_U64(0x014BB630F7604B57), /* ~= 10^-326 */
            SKY_U64(0xA5CED43B7E3E9188), SKY_U64(0x419EA3BD35385E2D), /* ~= 10^-325 */
            SKY_U64(0xCF42894A5DCE35EA), SKY_U64(0x52064CAC828675B9), /* ~= 10^-324 */
            SKY_U64(0x818995CE7AA0E1B2), SKY_U64(0x7343EFEBD1940993), /* ~= 10^-323 */
            SKY_U64(0xA1EBFB4219491A1F), SKY_U64(0x1014EBE6C5F90BF8), /* ~= 10^-322 */
            SKY_U64(0xCA66FA129F9B60A6), SKY_U64(0xD41A26E077774EF6), /* ~= 10^-321 */
            SKY_U64(0xFD00B897478238D0), SKY_U64(0x8920B098955522B4), /* ~= 10^-320 */
            SKY_U64(0x9E20735E8CB16382), SKY_U64(0x55B46E5F5D5535B0), /* ~= 10^-319 */
            SKY_U64(0xC5A890362FDDBC62), SKY_U64(0xEB2189F734AA831D), /* ~= 10^-318 */
            SKY_U64(0xF712B443BBD52B7B), SKY_U64(0xA5E9EC7501D523E4), /* ~= 10^-317 */
            SKY_U64(0x9A6BB0AA55653B2D), SKY_U64(0x47B233C92125366E), /* ~= 10^-316 */
            SKY_U64(0xC1069CD4EABE89F8), SKY_U64(0x999EC0BB696E840A), /* ~= 10^-315 */
            SKY_U64(0xF148440A256E2C76), SKY_U64(0xC00670EA43CA250D), /* ~= 10^-314 */
            SKY_U64(0x96CD2A865764DBCA), SKY_U64(0x380406926A5E5728), /* ~= 10^-313 */
            SKY_U64(0xBC807527ED3E12BC), SKY_U64(0xC605083704F5ECF2), /* ~= 10^-312 */
            SKY_U64(0xEBA09271E88D976B), SKY_U64(0xF7864A44C633682E), /* ~= 10^-311 */
            SKY_U64(0x93445B8731587EA3), SKY_U64(0x7AB3EE6AFBE0211D), /* ~= 10^-310 */
            SKY_U64(0xB8157268FDAE9E4C), SKY_U64(0x5960EA05BAD82964), /* ~= 10^-309 */
            SKY_U64(0xE61ACF033D1A45DF), SKY_U64(0x6FB92487298E33BD), /* ~= 10^-308 */
            SKY_U64(0x8FD0C16206306BAB), SKY_U64(0xA5D3B6D479F8E056), /* ~= 10^-307 */
            SKY_U64(0xB3C4F1BA87BC8696), SKY_U64(0x8F48A4899877186C), /* ~= 10^-306 */
            SKY_U64(0xE0B62E2929ABA83C), SKY_U64(0x331ACDABFE94DE87), /* ~= 10^-305 */
            SKY_U64(0x8C71DCD9BA0B4925), SKY_U64(0x9FF0C08B7F1D0B14), /* ~= 10^-304 */
            SKY_U64(0xAF8E5410288E1B6F), SKY_U64(0x07ECF0AE5EE44DD9), /* ~= 10^-303 */
            SKY_U64(0xDB71E91432B1A24A), SKY_U64(0xC9E82CD9F69D6150), /* ~= 10^-302 */
            SKY_U64(0x892731AC9FAF056E), SKY_U64(0xBE311C083A225CD2), /* ~= 10^-301 */
            SKY_U64(0xAB70FE17C79AC6CA), SKY_U64(0x6DBD630A48AAF406), /* ~= 10^-300 */
            SKY_U64(0xD64D3D9DB981787D), SKY_U64(0x092CBBCCDAD5B108), /* ~= 10^-299 */
            SKY_U64(0x85F0468293F0EB4E), SKY_U64(0x25BBF56008C58EA5), /* ~= 10^-298 */
            SKY_U64(0xA76C582338ED2621), SKY_U64(0xAF2AF2B80AF6F24E), /* ~= 10^-297 */
            SKY_U64(0xD1476E2C07286FAA), SKY_U64(0x1AF5AF660DB4AEE1), /* ~= 10^-296 */
            SKY_U64(0x82CCA4DB847945CA), SKY_U64(0x50D98D9FC890ED4D), /* ~= 10^-295 */
            SKY_U64(0xA37FCE126597973C), SKY_U64(0xE50FF107BAB528A0), /* ~= 10^-294 */
            SKY_U64(0xCC5FC196FEFD7D0C), SKY_U64(0x1E53ED49A96272C8), /* ~= 10^-293 */
            SKY_U64(0xFF77B1FCBEBCDC4F), SKY_U64(0x25E8E89C13BB0F7A), /* ~= 10^-292 */
            SKY_U64(0x9FAACF3DF73609B1), SKY_U64(0x77B191618C54E9AC), /* ~= 10^-291 */
            SKY_U64(0xC795830D75038C1D), SKY_U64(0xD59DF5B9EF6A2417), /* ~= 10^-290 */
            SKY_U64(0xF97AE3D0D2446F25), SKY_U64(0x4B0573286B44AD1D), /* ~= 10^-289 */
            SKY_U64(0x9BECCE62836AC577), SKY_U64(0x4EE367F9430AEC32), /* ~= 10^-288 */
            SKY_U64(0xC2E801FB244576D5), SKY_U64(0x229C41F793CDA73F), /* ~= 10^-287 */
            SKY_U64(0xF3A20279ED56D48A), SKY_U64(0x6B43527578C1110F), /* ~= 10^-286 */
            SKY_U64(0x9845418C345644D6), SKY_U64(0x830A13896B78AAA9), /* ~= 10^-285 */
            SKY_U64(0xBE5691EF416BD60C), SKY_U64(0x23CC986BC656D553), /* ~= 10^-284 */
            SKY_U64(0xEDEC366B11C6CB8F), SKY_U64(0x2CBFBE86B7EC8AA8), /* ~= 10^-283 */
            SKY_U64(0x94B3A202EB1C3F39), SKY_U64(0x7BF7D71432F3D6A9), /* ~= 10^-282 */
            SKY_U64(0xB9E08A83A5E34F07), SKY_U64(0xDAF5CCD93FB0CC53), /* ~= 10^-281 */
            SKY_U64(0xE858AD248F5C22C9), SKY_U64(0xD1B3400F8F9CFF68), /* ~= 10^-280 */
            SKY_U64(0x91376C36D99995BE), SKY_U64(0x23100809B9C21FA1), /* ~= 10^-279 */
            SKY_U64(0xB58547448FFFFB2D), SKY_U64(0xABD40A0C2832A78A), /* ~= 10^-278 */
            SKY_U64(0xE2E69915B3FFF9F9), SKY_U64(0x16C90C8F323F516C), /* ~= 10^-277 */
            SKY_U64(0x8DD01FAD907FFC3B), SKY_U64(0xAE3DA7D97F6792E3), /* ~= 10^-276 */
            SKY_U64(0xB1442798F49FFB4A), SKY_U64(0x99CD11CFDF41779C), /* ~= 10^-275 */
            SKY_U64(0xDD95317F31C7FA1D), SKY_U64(0x40405643D711D583), /* ~= 10^-274 */
            SKY_U64(0x8A7D3EEF7F1CFC52), SKY_U64(0x482835EA666B2572), /* ~= 10^-273 */
            SKY_U64(0xAD1C8EAB5EE43B66), SKY_U64(0xDA3243650005EECF), /* ~= 10^-272 */
            SKY_U64(0xD863B256369D4A40), SKY_U64(0x90BED43E40076A82), /* ~= 10^-271 */
            SKY_U64(0x873E4F75E2224E68), SKY_U64(0x5A7744A6E804A291), /* ~= 10^-270 */
            SKY_U64(0xA90DE3535AAAE202), SKY_U64(0x711515D0A205CB36), /* ~= 10^-269 */
            SKY_U64(0xD3515C2831559A83), SKY_U64(0x0D5A5B44CA873E03), /* ~= 10^-268 */
            SKY_U64(0x8412D9991ED58091), SKY_U64(0xE858790AFE9486C2), /* ~= 10^-267 */
            SKY_U64(0xA5178FFF668AE0B6), SKY_U64(0x626E974DBE39A872), /* ~= 10^-266 */
            SKY_U64(0xCE5D73FF402D98E3), SKY_U64(0xFB0A3D212DC8128F), /* ~= 10^-265 */
            SKY_U64(0x80FA687F881C7F8E), SKY_U64(0x7CE66634BC9D0B99), /* ~= 10^-264 */
            SKY_U64(0xA139029F6A239F72), SKY_U64(0x1C1FFFC1EBC44E80), /* ~= 10^-263 */
            SKY_U64(0xC987434744AC874E), SKY_U64(0xA327FFB266B56220), /* ~= 10^-262 */
            SKY_U64(0xFBE9141915D7A922), SKY_U64(0x4BF1FF9F0062BAA8), /* ~= 10^-261 */
            SKY_U64(0x9D71AC8FADA6C9B5), SKY_U64(0x6F773FC3603DB4A9), /* ~= 10^-260 */
            SKY_U64(0xC4CE17B399107C22), SKY_U64(0xCB550FB4384D21D3), /* ~= 10^-259 */
            SKY_U64(0xF6019DA07F549B2B), SKY_U64(0x7E2A53A146606A48), /* ~= 10^-258 */
            SKY_U64(0x99C102844F94E0FB), SKY_U64(0x2EDA7444CBFC426D), /* ~= 10^-257 */
            SKY_U64(0xC0314325637A1939), SKY_U64(0xFA911155FEFB5308), /* ~= 10^-256 */
            SKY_U64(0xF03D93EEBC589F88), SKY_U64(0x793555AB7EBA27CA), /* ~= 10^-255 */
            SKY_U64(0x96267C7535B763B5), SKY_U64(0x4BC1558B2F3458DE), /* ~= 10^-254 */
            SKY_U64(0xBBB01B9283253CA2), SKY_U64(0x9EB1AAEDFB016F16), /* ~= 10^-253 */
            SKY_U64(0xEA9C227723EE8BCB), SKY_U64(0x465E15A979C1CADC), /* ~= 10^-252 */
            SKY_U64(0x92A1958A7675175F), SKY_U64(0x0BFACD89EC191EC9), /* ~= 10^-251 */
            SKY_U64(0xB749FAED14125D36), SKY_U64(0xCEF980EC671F667B), /* ~= 10^-250 */
            SKY_U64(0xE51C79A85916F484), SKY_U64(0x82B7E12780E7401A), /* ~= 10^-249 */
            SKY_U64(0x8F31CC0937AE58D2), SKY_U64(0xD1B2ECB8B0908810), /* ~= 10^-248 */
            SKY_U64(0xB2FE3F0B8599EF07), SKY_U64(0x861FA7E6DCB4AA15), /* ~= 10^-247 */
            SKY_U64(0xDFBDCECE67006AC9), SKY_U64(0x67A791E093E1D49A), /* ~= 10^-246 */
            SKY_U64(0x8BD6A141006042BD), SKY_U64(0xE0C8BB2C5C6D24E0), /* ~= 10^-245 */
            SKY_U64(0xAECC49914078536D), SKY_U64(0x58FAE9F773886E18), /* ~= 10^-244 */
            SKY_U64(0xDA7F5BF590966848), SKY_U64(0xAF39A475506A899E), /* ~= 10^-243 */
            SKY_U64(0x888F99797A5E012D), SKY_U64(0x6D8406C952429603), /* ~= 10^-242 */
            SKY_U64(0xAAB37FD7D8F58178), SKY_U64(0xC8E5087BA6D33B83), /* ~= 10^-241 */
            SKY_U64(0xD5605FCDCF32E1D6), SKY_U64(0xFB1E4A9A90880A64), /* ~= 10^-240 */
            SKY_U64(0x855C3BE0A17FCD26), SKY_U64(0x5CF2EEA09A55067F), /* ~= 10^-239 */
            SKY_U64(0xA6B34AD8C9DFC06F), SKY_U64(0xF42FAA48C0EA481E), /* ~= 10^-238 */
            SKY_U64(0xD0601D8EFC57B08B), SKY_U64(0xF13B94DAF124DA26), /* ~= 10^-237 */
            SKY_U64(0x823C12795DB6CE57), SKY_U64(0x76C53D08D6B70858), /* ~= 10^-236 */
            SKY_U64(0xA2CB1717B52481ED), SKY_U64(0x54768C4B0C64CA6E), /* ~= 10^-235 */
            SKY_U64(0xCB7DDCDDA26DA268), SKY_U64(0xA9942F5DCF7DFD09), /* ~= 10^-234 */
            SKY_U64(0xFE5D54150B090B02), SKY_U64(0xD3F93B35435D7C4C), /* ~= 10^-233 */
            SKY_U64(0x9EFA548D26E5A6E1), SKY_U64(0xC47BC5014A1A6DAF), /* ~= 10^-232 */
            SKY_U64(0xC6B8E9B0709F109A), SKY_U64(0x359AB6419CA1091B), /* ~= 10^-231 */
            SKY_U64(0xF867241C8CC6D4C0), SKY_U64(0xC30163D203C94B62), /* ~= 10^-230 */
            SKY_U64(0x9B407691D7FC44F8), SKY_U64(0x79E0DE63425DCF1D), /* ~= 10^-229 */
            SKY_U64(0xC21094364DFB5636), SKY_U64(0x985915FC12F542E4), /* ~= 10^-228 */
            SKY_U64(0xF294B943E17A2BC4), SKY_U64(0x3E6F5B7B17B2939D), /* ~= 10^-227 */
            SKY_U64(0x979CF3CA6CEC5B5A), SKY_U64(0xA705992CEECF9C42), /* ~= 10^-226 */
            SKY_U64(0xBD8430BD08277231), SKY_U64(0x50C6FF782A838353), /* ~= 10^-225 */
            SKY_U64(0xECE53CEC4A314EBD), SKY_U64(0xA4F8BF5635246428), /* ~= 10^-224 */
            SKY_U64(0x940F4613AE5ED136), SKY_U64(0x871B7795E136BE99), /* ~= 10^-223 */
            SKY_U64(0xB913179899F68584), SKY_U64(0x28E2557B59846E3F), /* ~= 10^-222 */
            SKY_U64(0xE757DD7EC07426E5), SKY_U64(0x331AEADA2FE589CF), /* ~= 10^-221 */
            SKY_U64(0x9096EA6F3848984F), SKY_U64(0x3FF0D2C85DEF7621), /* ~= 10^-220 */
            SKY_U64(0xB4BCA50B065ABE63), SKY_U64(0x0FED077A756B53A9), /* ~= 10^-219 */
            SKY_U64(0xE1EBCE4DC7F16DFB), SKY_U64(0xD3E8495912C62894), /* ~= 10^-218 */
            SKY_U64(0x8D3360F09CF6E4BD), SKY_U64(0x64712DD7ABBBD95C), /* ~= 10^-217 */
            SKY_U64(0xB080392CC4349DEC), SKY_U64(0xBD8D794D96AACFB3), /* ~= 10^-216 */
            SKY_U64(0xDCA04777F541C567), SKY_U64(0xECF0D7A0FC5583A0), /* ~= 10^-215 */
            SKY_U64(0x89E42CAAF9491B60), SKY_U64(0xF41686C49DB57244), /* ~= 10^-214 */
            SKY_U64(0xAC5D37D5B79B6239), SKY_U64(0x311C2875C522CED5), /* ~= 10^-213 */
            SKY_U64(0xD77485CB25823AC7), SKY_U64(0x7D633293366B828B), /* ~= 10^-212 */
            SKY_U64(0x86A8D39EF77164BC), SKY_U64(0xAE5DFF9C02033197), /* ~= 10^-211 */
            SKY_U64(0xA8530886B54DBDEB), SKY_U64(0xD9F57F830283FDFC), /* ~= 10^-210 */
            SKY_U64(0xD267CAA862A12D66), SKY_U64(0xD072DF63C324FD7B), /* ~= 10^-209 */
            SKY_U64(0x8380DEA93DA4BC60), SKY_U64(0x4247CB9E59F71E6D), /* ~= 10^-208 */
            SKY_U64(0xA46116538D0DEB78), SKY_U64(0x52D9BE85F074E608), /* ~= 10^-207 */
            SKY_U64(0xCD795BE870516656), SKY_U64(0x67902E276C921F8B), /* ~= 10^-206 */
            SKY_U64(0x806BD9714632DFF6), SKY_U64(0x00BA1CD8A3DB53B6), /* ~= 10^-205 */
            SKY_U64(0xA086CFCD97BF97F3), SKY_U64(0x80E8A40ECCD228A4), /* ~= 10^-204 */
            SKY_U64(0xC8A883C0FDAF7DF0), SKY_U64(0x6122CD128006B2CD), /* ~= 10^-203 */
            SKY_U64(0xFAD2A4B13D1B5D6C), SKY_U64(0x796B805720085F81), /* ~= 10^-202 */
            SKY_U64(0x9CC3A6EEC6311A63), SKY_U64(0xCBE3303674053BB0), /* ~= 10^-201 */
            SKY_U64(0xC3F490AA77BD60FC), SKY_U64(0xBEDBFC4411068A9C), /* ~= 10^-200 */
            SKY_U64(0xF4F1B4D515ACB93B), SKY_U64(0xEE92FB5515482D44), /* ~= 10^-199 */
            SKY_U64(0x991711052D8BF3C5), SKY_U64(0x751BDD152D4D1C4A), /* ~= 10^-198 */
            SKY_U64(0xBF5CD54678EEF0B6), SKY_U64(0xD262D45A78A0635D), /* ~= 10^-197 */
            SKY_U64(0xEF340A98172AACE4), SKY_U64(0x86FB897116C87C34), /* ~= 10^-196 */
            SKY_U64(0x9580869F0E7AAC0E), SKY_U64(0xD45D35E6AE3D4DA0), /* ~= 10^-195 */
            SKY_U64(0xBAE0A846D2195712), SKY_U64(0x8974836059CCA109), /* ~= 10^-194 */
            SKY_U64(0xE998D258869FACD7), SKY_U64(0x2BD1A438703FC94B), /* ~= 10^-193 */
            SKY_U64(0x91FF83775423CC06), SKY_U64(0x7B6306A34627DDCF), /* ~= 10^-192 */
            SKY_U64(0xB67F6455292CBF08), SKY_U64(0x1A3BC84C17B1D542), /* ~= 10^-191 */
            SKY_U64(0xE41F3D6A7377EECA), SKY_U64(0x20CABA5F1D9E4A93), /* ~= 10^-190 */
            SKY_U64(0x8E938662882AF53E), SKY_U64(0x547EB47B7282EE9C), /* ~= 10^-189 */
            SKY_U64(0xB23867FB2A35B28D), SKY_U64(0xE99E619A4F23AA43), /* ~= 10^-188 */
            SKY_U64(0xDEC681F9F4C31F31), SKY_U64(0x6405FA00E2EC94D4), /* ~= 10^-187 */
            SKY_U64(0x8B3C113C38F9F37E), SKY_U64(0xDE83BC408DD3DD04), /* ~= 10^-186 */
            SKY_U64(0xAE0B158B4738705E), SKY_U64(0x9624AB50B148D445), /* ~= 10^-185 */
            SKY_U64(0xD98DDAEE19068C76), SKY_U64(0x3BADD624DD9B0957), /* ~= 10^-184 */
            SKY_U64(0x87F8A8D4CFA417C9), SKY_U64(0xE54CA5D70A80E5D6), /* ~= 10^-183 */
            SKY_U64(0xA9F6D30A038D1DBC), SKY_U64(0x5E9FCF4CCD211F4C), /* ~= 10^-182 */
            SKY_U64(0xD47487CC8470652B), SKY_U64(0x7647C3200069671F), /* ~= 10^-181 */
            SKY_U64(0x84C8D4DFD2C63F3B), SKY_U64(0x29ECD9F40041E073), /* ~= 10^-180 */
            SKY_U64(0xA5FB0A17C777CF09), SKY_U64(0xF468107100525890), /* ~= 10^-179 */
            SKY_U64(0xCF79CC9DB955C2CC), SKY_U64(0x7182148D4066EEB4), /* ~= 10^-178 */
            SKY_U64(0x81AC1FE293D599BF), SKY_U64(0xC6F14CD848405530), /* ~= 10^-177 */
            SKY_U64(0xA21727DB38CB002F), SKY_U64(0xB8ADA00E5A506A7C), /* ~= 10^-176 */
            SKY_U64(0xCA9CF1D206FDC03B), SKY_U64(0xA6D90811F0E4851C), /* ~= 10^-175 */
            SKY_U64(0xFD442E4688BD304A), SKY_U64(0x908F4A166D1DA663), /* ~= 10^-174 */
            SKY_U64(0x9E4A9CEC15763E2E), SKY_U64(0x9A598E4E043287FE), /* ~= 10^-173 */
            SKY_U64(0xC5DD44271AD3CDBA), SKY_U64(0x40EFF1E1853F29FD), /* ~= 10^-172 */
            SKY_U64(0xF7549530E188C128), SKY_U64(0xD12BEE59E68EF47C), /* ~= 10^-171 */
            SKY_U64(0x9A94DD3E8CF578B9), SKY_U64(0x82BB74F8301958CE), /* ~= 10^-170 */
            SKY_U64(0xC13A148E3032D6E7), SKY_U64(0xE36A52363C1FAF01), /* ~= 10^-169 */
            SKY_U64(0xF18899B1BC3F8CA1), SKY_U64(0xDC44E6C3CB279AC1), /* ~= 10^-168 */
            SKY_U64(0x96F5600F15A7B7E5), SKY_U64(0x29AB103A5EF8C0B9), /* ~= 10^-167 */
            SKY_U64(0xBCB2B812DB11A5DE), SKY_U64(0x7415D448F6B6F0E7), /* ~= 10^-166 */
            SKY_U64(0xEBDF661791D60F56), SKY_U64(0x111B495B3464AD21), /* ~= 10^-165 */
            SKY_U64(0x936B9FCEBB25C995), SKY_U64(0xCAB10DD900BEEC34), /* ~= 10^-164 */
            SKY_U64(0xB84687C269EF3BFB), SKY_U64(0x3D5D514F40EEA742), /* ~= 10^-163 */
            SKY_U64(0xE65829B3046B0AFA), SKY_U64(0x0CB4A5A3112A5112), /* ~= 10^-162 */
            SKY_U64(0x8FF71A0FE2C2E6DC), SKY_U64(0x47F0E785EABA72AB), /* ~= 10^-161 */
            SKY_U64(0xB3F4E093DB73A093), SKY_U64(0x59ED216765690F56), /* ~= 10^-160 */
            SKY_U64(0xE0F218B8D25088B8), SKY_U64(0x306869C13EC3532C), /* ~= 10^-159 */
            SKY_U64(0x8C974F7383725573), SKY_U64(0x1E414218C73A13FB), /* ~= 10^-158 */
            SKY_U64(0xAFBD2350644EEACF), SKY_U64(0xE5D1929EF90898FA), /* ~= 10^-157 */
            SKY_U64(0xDBAC6C247D62A583), SKY_U64(0xDF45F746B74ABF39), /* ~= 10^-156 */
            SKY_U64(0x894BC396CE5DA772), SKY_U64(0x6B8BBA8C328EB783), /* ~= 10^-155 */
            SKY_U64(0xAB9EB47C81F5114F), SKY_U64(0x066EA92F3F326564), /* ~= 10^-154 */
            SKY_U64(0xD686619BA27255A2), SKY_U64(0xC80A537B0EFEFEBD), /* ~= 10^-153 */
            SKY_U64(0x8613FD0145877585), SKY_U64(0xBD06742CE95F5F36), /* ~= 10^-152 */
            SKY_U64(0xA798FC4196E952E7), SKY_U64(0x2C48113823B73704), /* ~= 10^-151 */
            SKY_U64(0xD17F3B51FCA3A7A0), SKY_U64(0xF75A15862CA504C5), /* ~= 10^-150 */
            SKY_U64(0x82EF85133DE648C4), SKY_U64(0x9A984D73DBE722FB), /* ~= 10^-149 */
            SKY_U64(0xA3AB66580D5FDAF5), SKY_U64(0xC13E60D0D2E0EBBA), /* ~= 10^-148 */
            SKY_U64(0xCC963FEE10B7D1B3), SKY_U64(0x318DF905079926A8), /* ~= 10^-147 */
            SKY_U64(0xFFBBCFE994E5C61F), SKY_U64(0xFDF17746497F7052), /* ~= 10^-146 */
            SKY_U64(0x9FD561F1FD0F9BD3), SKY_U64(0xFEB6EA8BEDEFA633), /* ~= 10^-145 */
            SKY_U64(0xC7CABA6E7C5382C8), SKY_U64(0xFE64A52EE96B8FC0), /* ~= 10^-144 */
            SKY_U64(0xF9BD690A1B68637B), SKY_U64(0x3DFDCE7AA3C673B0), /* ~= 10^-143 */
            SKY_U64(0x9C1661A651213E2D), SKY_U64(0x06BEA10CA65C084E), /* ~= 10^-142 */
            SKY_U64(0xC31BFA0FE5698DB8), SKY_U64(0x486E494FCFF30A62), /* ~= 10^-141 */
            SKY_U64(0xF3E2F893DEC3F126), SKY_U64(0x5A89DBA3C3EFCCFA), /* ~= 10^-140 */
            SKY_U64(0x986DDB5C6B3A76B7), SKY_U64(0xF89629465A75E01C), /* ~= 10^-139 */
            SKY_U64(0xBE89523386091465), SKY_U64(0xF6BBB397F1135823), /* ~= 10^-138 */
            SKY_U64(0xEE2BA6C0678B597F), SKY_U64(0x746AA07DED582E2C), /* ~= 10^-137 */
            SKY_U64(0x94DB483840B717EF), SKY_U64(0xA8C2A44EB4571CDC), /* ~= 10^-136 */
            SKY_U64(0xBA121A4650E4DDEB), SKY_U64(0x92F34D62616CE413), /* ~= 10^-135 */
            SKY_U64(0xE896A0D7E51E1566), SKY_U64(0x77B020BAF9C81D17), /* ~= 10^-134 */
            SKY_U64(0x915E2486EF32CD60), SKY_U64(0x0ACE1474DC1D122E), /* ~= 10^-133 */
            SKY_U64(0xB5B5ADA8AAFF80B8), SKY_U64(0x0D819992132456BA), /* ~= 10^-132 */
            SKY_U64(0xE3231912D5BF60E6), SKY_U64(0x10E1FFF697ED6C69), /* ~= 10^-131 */
            SKY_U64(0x8DF5EFABC5979C8F), SKY_U64(0xCA8D3FFA1EF463C1), /* ~= 10^-130 */
            SKY_U64(0xB1736B96B6FD83B3), SKY_U64(0xBD308FF8A6B17CB2), /* ~= 10^-129 */
            SKY_U64(0xDDD0467C64BCE4A0), SKY_U64(0xAC7CB3F6D05DDBDE), /* ~= 10^-128 */
            SKY_U64(0x8AA22C0DBEF60EE4), SKY_U64(0x6BCDF07A423AA96B), /* ~= 10^-127 */
            SKY_U64(0xAD4AB7112EB3929D), SKY_U64(0x86C16C98D2C953C6), /* ~= 10^-126 */
            SKY_U64(0xD89D64D57A607744), SKY_U64(0xE871C7BF077BA8B7), /* ~= 10^-125 */
            SKY_U64(0x87625F056C7C4A8B), SKY_U64(0x11471CD764AD4972), /* ~= 10^-124 */
            SKY_U64(0xA93AF6C6C79B5D2D), SKY_U64(0xD598E40D3DD89BCF), /* ~= 10^-123 */
            SKY_U64(0xD389B47879823479), SKY_U64(0x4AFF1D108D4EC2C3), /* ~= 10^-122 */
            SKY_U64(0x843610CB4BF160CB), SKY_U64(0xCEDF722A585139BA), /* ~= 10^-121 */
            SKY_U64(0xA54394FE1EEDB8FE), SKY_U64(0xC2974EB4EE658828), /* ~= 10^-120 */
            SKY_U64(0xCE947A3DA6A9273E), SKY_U64(0x733D226229FEEA32), /* ~= 10^-119 */
            SKY_U64(0x811CCC668829B887), SKY_U64(0x0806357D5A3F525F), /* ~= 10^-118 */
            SKY_U64(0xA163FF802A3426A8), SKY_U64(0xCA07C2DCB0CF26F7), /* ~= 10^-117 */
            SKY_U64(0xC9BCFF6034C13052), SKY_U64(0xFC89B393DD02F0B5), /* ~= 10^-116 */
            SKY_U64(0xFC2C3F3841F17C67), SKY_U64(0xBBAC2078D443ACE2), /* ~= 10^-115 */
            SKY_U64(0x9D9BA7832936EDC0), SKY_U64(0xD54B944B84AA4C0D), /* ~= 10^-114 */
            SKY_U64(0xC5029163F384A931), SKY_U64(0x0A9E795E65D4DF11), /* ~= 10^-113 */
            SKY_U64(0xF64335BCF065D37D), SKY_U64(0x4D4617B5FF4A16D5), /* ~= 10^-112 */
            SKY_U64(0x99EA0196163FA42E), SKY_U64(0x504BCED1BF8E4E45), /* ~= 10^-111 */
            SKY_U64(0xC06481FB9BCF8D39), SKY_U64(0xE45EC2862F71E1D6), /* ~= 10^-110 */
            SKY_U64(0xF07DA27A82C37088), SKY_U64(0x5D767327BB4E5A4C), /* ~= 10^-109 */
            SKY_U64(0x964E858C91BA2655), SKY_U64(0x3A6A07F8D510F86F), /* ~= 10^-108 */
            SKY_U64(0xBBE226EFB628AFEA), SKY_U64(0x890489F70A55368B), /* ~= 10^-107 */
            SKY_U64(0xEADAB0ABA3B2DBE5), SKY_U64(0x2B45AC74CCEA842E), /* ~= 10^-106 */
            SKY_U64(0x92C8AE6B464FC96F), SKY_U64(0x3B0B8BC90012929D), /* ~= 10^-105 */
            SKY_U64(0xB77ADA0617E3BBCB), SKY_U64(0x09CE6EBB40173744), /* ~= 10^-104 */
            SKY_U64(0xE55990879DDCAABD), SKY_U64(0xCC420A6A101D0515), /* ~= 10^-103 */
            SKY_U64(0x8F57FA54C2A9EAB6), SKY_U64(0x9FA946824A12232D), /* ~= 10^-102 */
            SKY_U64(0xB32DF8E9F3546564), SKY_U64(0x47939822DC96ABF9), /* ~= 10^-101 */
            SKY_U64(0xDFF9772470297EBD), SKY_U64(0x59787E2B93BC56F7), /* ~= 10^-100 */
            SKY_U64(0x8BFBEA76C619EF36), SKY_U64(0x57EB4EDB3C55B65A), /* ~= 10^-99 */
            SKY_U64(0xAEFAE51477A06B03), SKY_U64(0xEDE622920B6B23F1), /* ~= 10^-98 */
            SKY_U64(0xDAB99E59958885C4), SKY_U64(0xE95FAB368E45ECED), /* ~= 10^-97 */
            SKY_U64(0x88B402F7FD75539B), SKY_U64(0x11DBCB0218EBB414), /* ~= 10^-96 */
            SKY_U64(0xAAE103B5FCD2A881), SKY_U64(0xD652BDC29F26A119), /* ~= 10^-95 */
            SKY_U64(0xD59944A37C0752A2), SKY_U64(0x4BE76D3346F0495F), /* ~= 10^-94 */
            SKY_U64(0x857FCAE62D8493A5), SKY_U64(0x6F70A4400C562DDB), /* ~= 10^-93 */
            SKY_U64(0xA6DFBD9FB8E5B88E), SKY_U64(0xCB4CCD500F6BB952), /* ~= 10^-92 */
            SKY_U64(0xD097AD07A71F26B2), SKY_U64(0x7E2000A41346A7A7), /* ~= 10^-91 */
            SKY_U64(0x825ECC24C873782F), SKY_U64(0x8ED400668C0C28C8), /* ~= 10^-90 */
            SKY_U64(0xA2F67F2DFA90563B), SKY_U64(0x728900802F0F32FA), /* ~= 10^-89 */
            SKY_U64(0xCBB41EF979346BCA), SKY_U64(0x4F2B40A03AD2FFB9), /* ~= 10^-88 */
            SKY_U64(0xFEA126B7D78186BC), SKY_U64(0xE2F610C84987BFA8), /* ~= 10^-87 */
            SKY_U64(0x9F24B832E6B0F436), SKY_U64(0x0DD9CA7D2DF4D7C9), /* ~= 10^-86 */
            SKY_U64(0xC6EDE63FA05D3143), SKY_U64(0x91503D1C79720DBB), /* ~= 10^-85 */
            SKY_U64(0xF8A95FCF88747D94), SKY_U64(0x75A44C6397CE912A), /* ~= 10^-84 */
            SKY_U64(0x9B69DBE1B548CE7C), SKY_U64(0xC986AFBE3EE11ABA), /* ~= 10^-83 */
            SKY_U64(0xC24452DA229B021B), SKY_U64(0xFBE85BADCE996168), /* ~= 10^-82 */
            SKY_U64(0xF2D56790AB41C2A2), SKY_U64(0xFAE27299423FB9C3), /* ~= 10^-81 */
            SKY_U64(0x97C560BA6B0919A5), SKY_U64(0xDCCD879FC967D41A), /* ~= 10^-80 */
            SKY_U64(0xBDB6B8E905CB600F), SKY_U64(0x5400E987BBC1C920), /* ~= 10^-79 */
            SKY_U64(0xED246723473E3813), SKY_U64(0x290123E9AAB23B68), /* ~= 10^-78 */
            SKY_U64(0x9436C0760C86E30B), SKY_U64(0xF9A0B6720AAF6521), /* ~= 10^-77 */
            SKY_U64(0xB94470938FA89BCE), SKY_U64(0xF808E40E8D5B3E69), /* ~= 10^-76 */
            SKY_U64(0xE7958CB87392C2C2), SKY_U64(0xB60B1D1230B20E04), /* ~= 10^-75 */
            SKY_U64(0x90BD77F3483BB9B9), SKY_U64(0xB1C6F22B5E6F48C2), /* ~= 10^-74 */
            SKY_U64(0xB4ECD5F01A4AA828), SKY_U64(0x1E38AEB6360B1AF3), /* ~= 10^-73 */
            SKY_U64(0xE2280B6C20DD5232), SKY_U64(0x25C6DA63C38DE1B0), /* ~= 10^-72 */
            SKY_U64(0x8D590723948A535F), SKY_U64(0x579C487E5A38AD0E), /* ~= 10^-71 */
            SKY_U64(0xB0AF48EC79ACE837), SKY_U64(0x2D835A9DF0C6D851), /* ~= 10^-70 */
            SKY_U64(0xDCDB1B2798182244), SKY_U64(0xF8E431456CF88E65), /* ~= 10^-69 */
            SKY_U64(0x8A08F0F8BF0F156B), SKY_U64(0x1B8E9ECB641B58FF), /* ~= 10^-68 */
            SKY_U64(0xAC8B2D36EED2DAC5), SKY_U64(0xE272467E3D222F3F), /* ~= 10^-67 */
            SKY_U64(0xD7ADF884AA879177), SKY_U64(0x5B0ED81DCC6ABB0F), /* ~= 10^-66 */
            SKY_U64(0x86CCBB52EA94BAEA), SKY_U64(0x98E947129FC2B4E9), /* ~= 10^-65 */
            SKY_U64(0xA87FEA27A539E9A5), SKY_U64(0x3F2398D747B36224), /* ~= 10^-64 */
            SKY_U64(0xD29FE4B18E88640E), SKY_U64(0x8EEC7F0D19A03AAD), /* ~= 10^-63 */
            SKY_U64(0x83A3EEEEF9153E89), SKY_U64(0x1953CF68300424AC), /* ~= 10^-62 */
            SKY_U64(0xA48CEAAAB75A8E2B), SKY_U64(0x5FA8C3423C052DD7), /* ~= 10^-61 */
            SKY_U64(0xCDB02555653131B6), SKY_U64(0x3792F412CB06794D), /* ~= 10^-60 */
            SKY_U64(0x808E17555F3EBF11), SKY_U64(0xE2BBD88BBEE40BD0), /* ~= 10^-59 */
            SKY_U64(0xA0B19D2AB70E6ED6), SKY_U64(0x5B6ACEAEAE9D0EC4), /* ~= 10^-58 */
            SKY_U64(0xC8DE047564D20A8B), SKY_U64(0xF245825A5A445275), /* ~= 10^-57 */
            SKY_U64(0xFB158592BE068D2E), SKY_U64(0xEED6E2F0F0D56712), /* ~= 10^-56 */
            SKY_U64(0x9CED737BB6C4183D), SKY_U64(0x55464DD69685606B), /* ~= 10^-55 */
            SKY_U64(0xC428D05AA4751E4C), SKY_U64(0xAA97E14C3C26B886), /* ~= 10^-54 */
            SKY_U64(0xF53304714D9265DF), SKY_U64(0xD53DD99F4B3066A8), /* ~= 10^-53 */
            SKY_U64(0x993FE2C6D07B7FAB), SKY_U64(0xE546A8038EFE4029), /* ~= 10^-52 */
            SKY_U64(0xBF8FDB78849A5F96), SKY_U64(0xDE98520472BDD033), /* ~= 10^-51 */
            SKY_U64(0xEF73D256A5C0F77C), SKY_U64(0x963E66858F6D4440), /* ~= 10^-50 */
            SKY_U64(0x95A8637627989AAD), SKY_U64(0xDDE7001379A44AA8), /* ~= 10^-49 */
            SKY_U64(0xBB127C53B17EC159), SKY_U64(0x5560C018580D5D52), /* ~= 10^-48 */
            SKY_U64(0xE9D71B689DDE71AF), SKY_U64(0xAAB8F01E6E10B4A6), /* ~= 10^-47 */
            SKY_U64(0x9226712162AB070D), SKY_U64(0xCAB3961304CA70E8), /* ~= 10^-46 */
            SKY_U64(0xB6B00D69BB55C8D1), SKY_U64(0x3D607B97C5FD0D22), /* ~= 10^-45 */
            SKY_U64(0xE45C10C42A2B3B05), SKY_U64(0x8CB89A7DB77C506A), /* ~= 10^-44 */
            SKY_U64(0x8EB98A7A9A5B04E3), SKY_U64(0x77F3608E92ADB242), /* ~= 10^-43 */
            SKY_U64(0xB267ED1940F1C61C), SKY_U64(0x55F038B237591ED3), /* ~= 10^-42 */
            SKY_U64(0xDF01E85F912E37A3), SKY_U64(0x6B6C46DEC52F6688), /* ~= 10^-41 */
            SKY_U64(0x8B61313BBABCE2C6), SKY_U64(0x2323AC4B3B3DA015), /* ~= 10^-40 */
            SKY_U64(0xAE397D8AA96C1B77), SKY_U64(0xABEC975E0A0D081A), /* ~= 10^-39 */
            SKY_U64(0xD9C7DCED53C72255), SKY_U64(0x96E7BD358C904A21), /* ~= 10^-38 */
            SKY_U64(0x881CEA14545C7575), SKY_U64(0x7E50D64177DA2E54), /* ~= 10^-37 */
            SKY_U64(0xAA242499697392D2), SKY_U64(0xDDE50BD1D5D0B9E9), /* ~= 10^-36 */
            SKY_U64(0xD4AD2DBFC3D07787), SKY_U64(0x955E4EC64B44E864), /* ~= 10^-35 */
            SKY_U64(0x84EC3C97DA624AB4), SKY_U64(0xBD5AF13BEF0B113E), /* ~= 10^-34 */
            SKY_U64(0xA6274BBDD0FADD61), SKY_U64(0xECB1AD8AEACDD58E), /* ~= 10^-33 */
            SKY_U64(0xCFB11EAD453994BA), SKY_U64(0x67DE18EDA5814AF2), /* ~= 10^-32 */
            SKY_U64(0x81CEB32C4B43FCF4), SKY_U64(0x80EACF948770CED7), /* ~= 10^-31 */
            SKY_U64(0xA2425FF75E14FC31), SKY_U64(0xA1258379A94D028D), /* ~= 10^-30 */
            SKY_U64(0xCAD2F7F5359A3B3E), SKY_U64(0x096EE45813A04330), /* ~= 10^-29 */
            SKY_U64(0xFD87B5F28300CA0D), SKY_U64(0x8BCA9D6E188853FC), /* ~= 10^-28 */
            SKY_U64(0x9E74D1B791E07E48), SKY_U64(0x775EA264CF55347D), /* ~= 10^-27 */
            SKY_U64(0xC612062576589DDA), SKY_U64(0x95364AFE032A819D), /* ~= 10^-26 */
            SKY_U64(0xF79687AED3EEC551), SKY_U64(0x3A83DDBD83F52204), /* ~= 10^-25 */
            SKY_U64(0x9ABE14CD44753B52), SKY_U64(0xC4926A9672793542), /* ~= 10^-24 */
            SKY_U64(0xC16D9A0095928A27), SKY_U64(0x75B7053C0F178293), /* ~= 10^-23 */
            SKY_U64(0xF1C90080BAF72CB1), SKY_U64(0x5324C68B12DD6338), /* ~= 10^-22 */
            SKY_U64(0x971DA05074DA7BEE), SKY_U64(0xD3F6FC16EBCA5E03), /* ~= 10^-21 */
            SKY_U64(0xBCE5086492111AEA), SKY_U64(0x88F4BB1CA6BCF584), /* ~= 10^-20 */
            SKY_U64(0xEC1E4A7DB69561A5), SKY_U64(0x2B31E9E3D06C32E5), /* ~= 10^-19 */
            SKY_U64(0x9392EE8E921D5D07), SKY_U64(0x3AFF322E62439FCF), /* ~= 10^-18 */
            SKY_U64(0xB877AA3236A4B449), SKY_U64(0x09BEFEB9FAD487C2), /* ~= 10^-17 */
            SKY_U64(0xE69594BEC44DE15B), SKY_U64(0x4C2EBE687989A9B3), /* ~= 10^-16 */
            SKY_U64(0x901D7CF73AB0ACD9), SKY_U64(0x0F9D37014BF60A10), /* ~= 10^-15 */
            SKY_U64(0xB424DC35095CD80F), SKY_U64(0x538484C19EF38C94), /* ~= 10^-14 */
            SKY_U64(0xE12E13424BB40E13), SKY_U64(0x2865A5F206B06FB9), /* ~= 10^-13 */
            SKY_U64(0x8CBCCC096F5088CB), SKY_U64(0xF93F87B7442E45D3), /* ~= 10^-12 */
            SKY_U64(0xAFEBFF0BCB24AAFE), SKY_U64(0xF78F69A51539D748), /* ~= 10^-11 */
            SKY_U64(0xDBE6FECEBDEDD5BE), SKY_U64(0xB573440E5A884D1B), /* ~= 10^-10 */
            SKY_U64(0x89705F4136B4A597), SKY_U64(0x31680A88F8953030), /* ~= 10^-9 */
            SKY_U64(0xABCC77118461CEFC), SKY_U64(0xFDC20D2B36BA7C3D), /* ~= 10^-8 */
            SKY_U64(0xD6BF94D5E57A42BC), SKY_U64(0x3D32907604691B4C), /* ~= 10^-7 */
            SKY_U64(0x8637BD05AF6C69B5), SKY_U64(0xA63F9A49C2C1B10F), /* ~= 10^-6 */
            SKY_U64(0xA7C5AC471B478423), SKY_U64(0x0FCF80DC33721D53), /* ~= 10^-5 */
            SKY_U64(0xD1B71758E219652B), SKY_U64(0xD3C36113404EA4A8), /* ~= 10^-4 */
            SKY_U64(0x83126E978D4FDF3B), SKY_U64(0x645A1CAC083126E9), /* ~= 10^-3 */
            SKY_U64(0xA3D70A3D70A3D70A), SKY_U64(0x3D70A3D70A3D70A3), /* ~= 10^-2 */
            SKY_U64(0xCCCCCCCCCCCCCCCC), SKY_U64(0xCCCCCCCCCCCCCCCC), /* ~= 10^-1 */
            SKY_U64(0x8000000000000000), SKY_U64(0x0000000000000000), /* == 10^0 */
            SKY_U64(0xA000000000000000), SKY_U64(0x0000000000000000), /* == 10^1 */
            SKY_U64(0xC800000000000000), SKY_U64(0x0000000000000000), /* == 10^2 */
            SKY_U64(0xFA00000000000000), SKY_U64(0x0000000000000000), /* == 10^3 */
            SKY_U64(0x9C40000000000000), SKY_U64(0x0000000000000000), /* == 10^4 */
            SKY_U64(0xC350000000000000), SKY_U64(0x0000000000000000), /* == 10^5 */
            SKY_U64(0xF424000000000000), SKY_U64(0x0000000000000000), /* == 10^6 */
            SKY_U64(0x9896800000000000), SKY_U64(0x0000000000000000), /* == 10^7 */
            SKY_U64(0xBEBC200000000000), SKY_U64(0x0000000000000000), /* == 10^8 */
            SKY_U64(0xEE6B280000000000), SKY_U64(0x0000000000000000), /* == 10^9 */
            SKY_U64(0x9502F90000000000), SKY_U64(0x0000000000000000), /* == 10^10 */
            SKY_U64(0xBA43B74000000000), SKY_U64(0x0000000000000000), /* == 10^11 */
            SKY_U64(0xE8D4A51000000000), SKY_U64(0x0000000000000000), /* == 10^12 */
            SKY_U64(0x9184E72A00000000), SKY_U64(0x0000000000000000), /* == 10^13 */
            SKY_U64(0xB5E620F480000000), SKY_U64(0x0000000000000000), /* == 10^14 */
            SKY_U64(0xE35FA931A0000000), SKY_U64(0x0000000000000000), /* == 10^15 */
            SKY_U64(0x8E1BC9BF04000000), SKY_U64(0x0000000000000000), /* == 10^16 */
            SKY_U64(0xB1A2BC2EC5000000), SKY_U64(0x0000000000000000), /* == 10^17 */
            SKY_U64(0xDE0B6B3A76400000), SKY_U64(0x0000000000000000), /* == 10^18 */
            SKY_U64(0x8AC7230489E80000), SKY_U64(0x0000000000000000), /* == 10^19 */
            SKY_U64(0xAD78EBC5AC620000), SKY_U64(0x0000000000000000), /* == 10^20 */
            SKY_U64(0xD8D726B7177A8000), SKY_U64(0x0000000000000000), /* == 10^21 */
            SKY_U64(0x878678326EAC9000), SKY_U64(0x0000000000000000), /* == 10^22 */
            SKY_U64(0xA968163F0A57B400), SKY_U64(0x0000000000000000), /* == 10^23 */
            SKY_U64(0xD3C21BCECCEDA100), SKY_U64(0x0000000000000000), /* == 10^24 */
            SKY_U64(0x84595161401484A0), SKY_U64(0x0000000000000000), /* == 10^25 */
            SKY_U64(0xA56FA5B99019A5C8), SKY_U64(0x0000000000000000), /* == 10^26 */
            SKY_U64(0xCECB8F27F4200F3A), SKY_U64(0x0000000000000000), /* == 10^27 */
            SKY_U64(0x813F3978F8940984), SKY_U64(0x4000000000000000), /* == 10^28 */
            SKY_U64(0xA18F07D736B90BE5), SKY_U64(0x5000000000000000), /* == 10^29 */
            SKY_U64(0xC9F2C9CD04674EDE), SKY_U64(0xA400000000000000), /* == 10^30 */
            SKY_U64(0xFC6F7C4045812296), SKY_U64(0x4D00000000000000), /* == 10^31 */
            SKY_U64(0x9DC5ADA82B70B59D), SKY_U64(0xF020000000000000), /* == 10^32 */
            SKY_U64(0xC5371912364CE305), SKY_U64(0x6C28000000000000), /* == 10^33 */
            SKY_U64(0xF684DF56C3E01BC6), SKY_U64(0xC732000000000000), /* == 10^34 */
            SKY_U64(0x9A130B963A6C115C), SKY_U64(0x3C7F400000000000), /* == 10^35 */
            SKY_U64(0xC097CE7BC90715B3), SKY_U64(0x4B9F100000000000), /* == 10^36 */
            SKY_U64(0xF0BDC21ABB48DB20), SKY_U64(0x1E86D40000000000), /* == 10^37 */
            SKY_U64(0x96769950B50D88F4), SKY_U64(0x1314448000000000), /* == 10^38 */
            SKY_U64(0xBC143FA4E250EB31), SKY_U64(0x17D955A000000000), /* == 10^39 */
            SKY_U64(0xEB194F8E1AE525FD), SKY_U64(0x5DCFAB0800000000), /* == 10^40 */
            SKY_U64(0x92EFD1B8D0CF37BE), SKY_U64(0x5AA1CAE500000000), /* == 10^41 */
            SKY_U64(0xB7ABC627050305AD), SKY_U64(0xF14A3D9E40000000), /* == 10^42 */
            SKY_U64(0xE596B7B0C643C719), SKY_U64(0x6D9CCD05D0000000), /* == 10^43 */
            SKY_U64(0x8F7E32CE7BEA5C6F), SKY_U64(0xE4820023A2000000), /* == 10^44 */
            SKY_U64(0xB35DBF821AE4F38B), SKY_U64(0xDDA2802C8A800000), /* == 10^45 */
            SKY_U64(0xE0352F62A19E306E), SKY_U64(0xD50B2037AD200000), /* == 10^46 */
            SKY_U64(0x8C213D9DA502DE45), SKY_U64(0x4526F422CC340000), /* == 10^47 */
            SKY_U64(0xAF298D050E4395D6), SKY_U64(0x9670B12B7F410000), /* == 10^48 */
            SKY_U64(0xDAF3F04651D47B4C), SKY_U64(0x3C0CDD765F114000), /* == 10^49 */
            SKY_U64(0x88D8762BF324CD0F), SKY_U64(0xA5880A69FB6AC800), /* == 10^50 */
            SKY_U64(0xAB0E93B6EFEE0053), SKY_U64(0x8EEA0D047A457A00), /* == 10^51 */
            SKY_U64(0xD5D238A4ABE98068), SKY_U64(0x72A4904598D6D880), /* == 10^52 */
            SKY_U64(0x85A36366EB71F041), SKY_U64(0x47A6DA2B7F864750), /* == 10^53 */
            SKY_U64(0xA70C3C40A64E6C51), SKY_U64(0x999090B65F67D924), /* == 10^54 */
            SKY_U64(0xD0CF4B50CFE20765), SKY_U64(0xFFF4B4E3F741CF6D), /* == 10^55 */
            SKY_U64(0x82818F1281ED449F), SKY_U64(0xBFF8F10E7A8921A4), /* ~= 10^56 */
            SKY_U64(0xA321F2D7226895C7), SKY_U64(0xAFF72D52192B6A0D), /* ~= 10^57 */
            SKY_U64(0xCBEA6F8CEB02BB39), SKY_U64(0x9BF4F8A69F764490), /* ~= 10^58 */
            SKY_U64(0xFEE50B7025C36A08), SKY_U64(0x02F236D04753D5B4), /* ~= 10^59 */
            SKY_U64(0x9F4F2726179A2245), SKY_U64(0x01D762422C946590), /* ~= 10^60 */
            SKY_U64(0xC722F0EF9D80AAD6), SKY_U64(0x424D3AD2B7B97EF5), /* ~= 10^61 */
            SKY_U64(0xF8EBAD2B84E0D58B), SKY_U64(0xD2E0898765A7DEB2), /* ~= 10^62 */
            SKY_U64(0x9B934C3B330C8577), SKY_U64(0x63CC55F49F88EB2F), /* ~= 10^63 */
            SKY_U64(0xC2781F49FFCFA6D5), SKY_U64(0x3CBF6B71C76B25FB), /* ~= 10^64 */
            SKY_U64(0xF316271C7FC3908A), SKY_U64(0x8BEF464E3945EF7A), /* ~= 10^65 */
            SKY_U64(0x97EDD871CFDA3A56), SKY_U64(0x97758BF0E3CBB5AC), /* ~= 10^66 */
            SKY_U64(0xBDE94E8E43D0C8EC), SKY_U64(0x3D52EEED1CBEA317), /* ~= 10^67 */
            SKY_U64(0xED63A231D4C4FB27), SKY_U64(0x4CA7AAA863EE4BDD), /* ~= 10^68 */
            SKY_U64(0x945E455F24FB1CF8), SKY_U64(0x8FE8CAA93E74EF6A), /* ~= 10^69 */
            SKY_U64(0xB975D6B6EE39E436), SKY_U64(0xB3E2FD538E122B44), /* ~= 10^70 */
            SKY_U64(0xE7D34C64A9C85D44), SKY_U64(0x60DBBCA87196B616), /* ~= 10^71 */
            SKY_U64(0x90E40FBEEA1D3A4A), SKY_U64(0xBC8955E946FE31CD), /* ~= 10^72 */
            SKY_U64(0xB51D13AEA4A488DD), SKY_U64(0x6BABAB6398BDBE41), /* ~= 10^73 */
            SKY_U64(0xE264589A4DCDAB14), SKY_U64(0xC696963C7EED2DD1), /* ~= 10^74 */
            SKY_U64(0x8D7EB76070A08AEC), SKY_U64(0xFC1E1DE5CF543CA2), /* ~= 10^75 */
            SKY_U64(0xB0DE65388CC8ADA8), SKY_U64(0x3B25A55F43294BCB), /* ~= 10^76 */
            SKY_U64(0xDD15FE86AFFAD912), SKY_U64(0x49EF0EB713F39EBE), /* ~= 10^77 */
            SKY_U64(0x8A2DBF142DFCC7AB), SKY_U64(0x6E3569326C784337), /* ~= 10^78 */
            SKY_U64(0xACB92ED9397BF996), SKY_U64(0x49C2C37F07965404), /* ~= 10^79 */
            SKY_U64(0xD7E77A8F87DAF7FB), SKY_U64(0xDC33745EC97BE906), /* ~= 10^80 */
            SKY_U64(0x86F0AC99B4E8DAFD), SKY_U64(0x69A028BB3DED71A3), /* ~= 10^81 */
            SKY_U64(0xA8ACD7C0222311BC), SKY_U64(0xC40832EA0D68CE0C), /* ~= 10^82 */
            SKY_U64(0xD2D80DB02AABD62B), SKY_U64(0xF50A3FA490C30190), /* ~= 10^83 */
            SKY_U64(0x83C7088E1AAB65DB), SKY_U64(0x792667C6DA79E0FA), /* ~= 10^84 */
            SKY_U64(0xA4B8CAB1A1563F52), SKY_U64(0x577001B891185938), /* ~= 10^85 */
            SKY_U64(0xCDE6FD5E09ABCF26), SKY_U64(0xED4C0226B55E6F86), /* ~= 10^86 */
            SKY_U64(0x80B05E5AC60B6178), SKY_U64(0x544F8158315B05B4), /* ~= 10^87 */
            SKY_U64(0xA0DC75F1778E39D6), SKY_U64(0x696361AE3DB1C721), /* ~= 10^88 */
            SKY_U64(0xC913936DD571C84C), SKY_U64(0x03BC3A19CD1E38E9), /* ~= 10^89 */
            SKY_U64(0xFB5878494ACE3A5F), SKY_U64(0x04AB48A04065C723), /* ~= 10^90 */
            SKY_U64(0x9D174B2DCEC0E47B), SKY_U64(0x62EB0D64283F9C76), /* ~= 10^91 */
            SKY_U64(0xC45D1DF942711D9A), SKY_U64(0x3BA5D0BD324F8394), /* ~= 10^92 */
            SKY_U64(0xF5746577930D6500), SKY_U64(0xCA8F44EC7EE36479), /* ~= 10^93 */
            SKY_U64(0x9968BF6ABBE85F20), SKY_U64(0x7E998B13CF4E1ECB), /* ~= 10^94 */
            SKY_U64(0xBFC2EF456AE276E8), SKY_U64(0x9E3FEDD8C321A67E), /* ~= 10^95 */
            SKY_U64(0xEFB3AB16C59B14A2), SKY_U64(0xC5CFE94EF3EA101E), /* ~= 10^96 */
            SKY_U64(0x95D04AEE3B80ECE5), SKY_U64(0xBBA1F1D158724A12), /* ~= 10^97 */
            SKY_U64(0xBB445DA9CA61281F), SKY_U64(0x2A8A6E45AE8EDC97), /* ~= 10^98 */
            SKY_U64(0xEA1575143CF97226), SKY_U64(0xF52D09D71A3293BD), /* ~= 10^99 */
            SKY_U64(0x924D692CA61BE758), SKY_U64(0x593C2626705F9C56), /* ~= 10^100 */
            SKY_U64(0xB6E0C377CFA2E12E), SKY_U64(0x6F8B2FB00C77836C), /* ~= 10^101 */
            SKY_U64(0xE498F455C38B997A), SKY_U64(0x0B6DFB9C0F956447), /* ~= 10^102 */
            SKY_U64(0x8EDF98B59A373FEC), SKY_U64(0x4724BD4189BD5EAC), /* ~= 10^103 */
            SKY_U64(0xB2977EE300C50FE7), SKY_U64(0x58EDEC91EC2CB657), /* ~= 10^104 */
            SKY_U64(0xDF3D5E9BC0F653E1), SKY_U64(0x2F2967B66737E3ED), /* ~= 10^105 */
            SKY_U64(0x8B865B215899F46C), SKY_U64(0xBD79E0D20082EE74), /* ~= 10^106 */
            SKY_U64(0xAE67F1E9AEC07187), SKY_U64(0xECD8590680A3AA11), /* ~= 10^107 */
            SKY_U64(0xDA01EE641A708DE9), SKY_U64(0xE80E6F4820CC9495), /* ~= 10^108 */
            SKY_U64(0x884134FE908658B2), SKY_U64(0x3109058D147FDCDD), /* ~= 10^109 */
            SKY_U64(0xAA51823E34A7EEDE), SKY_U64(0xBD4B46F0599FD415), /* ~= 10^110 */
            SKY_U64(0xD4E5E2CDC1D1EA96), SKY_U64(0x6C9E18AC7007C91A), /* ~= 10^111 */
            SKY_U64(0x850FADC09923329E), SKY_U64(0x03E2CF6BC604DDB0), /* ~= 10^112 */
            SKY_U64(0xA6539930BF6BFF45), SKY_U64(0x84DB8346B786151C), /* ~= 10^113 */
            SKY_U64(0xCFE87F7CEF46FF16), SKY_U64(0xE612641865679A63), /* ~= 10^114 */
            SKY_U64(0x81F14FAE158C5F6E), SKY_U64(0x4FCB7E8F3F60C07E), /* ~= 10^115 */
            SKY_U64(0xA26DA3999AEF7749), SKY_U64(0xE3BE5E330F38F09D), /* ~= 10^116 */
            SKY_U64(0xCB090C8001AB551C), SKY_U64(0x5CADF5BFD3072CC5), /* ~= 10^117 */
            SKY_U64(0xFDCB4FA002162A63), SKY_U64(0x73D9732FC7C8F7F6), /* ~= 10^118 */
            SKY_U64(0x9E9F11C4014DDA7E), SKY_U64(0x2867E7FDDCDD9AFA), /* ~= 10^119 */
            SKY_U64(0xC646D63501A1511D), SKY_U64(0xB281E1FD541501B8), /* ~= 10^120 */
            SKY_U64(0xF7D88BC24209A565), SKY_U64(0x1F225A7CA91A4226), /* ~= 10^121 */
            SKY_U64(0x9AE757596946075F), SKY_U64(0x3375788DE9B06958), /* ~= 10^122 */
            SKY_U64(0xC1A12D2FC3978937), SKY_U64(0x0052D6B1641C83AE), /* ~= 10^123 */
            SKY_U64(0xF209787BB47D6B84), SKY_U64(0xC0678C5DBD23A49A), /* ~= 10^124 */
            SKY_U64(0x9745EB4D50CE6332), SKY_U64(0xF840B7BA963646E0), /* ~= 10^125 */
            SKY_U64(0xBD176620A501FBFF), SKY_U64(0xB650E5A93BC3D898), /* ~= 10^126 */
            SKY_U64(0xEC5D3FA8CE427AFF), SKY_U64(0xA3E51F138AB4CEBE), /* ~= 10^127 */
            SKY_U64(0x93BA47C980E98CDF), SKY_U64(0xC66F336C36B10137), /* ~= 10^128 */
            SKY_U64(0xB8A8D9BBE123F017), SKY_U64(0xB80B0047445D4184), /* ~= 10^129 */
            SKY_U64(0xE6D3102AD96CEC1D), SKY_U64(0xA60DC059157491E5), /* ~= 10^130 */
            SKY_U64(0x9043EA1AC7E41392), SKY_U64(0x87C89837AD68DB2F), /* ~= 10^131 */
            SKY_U64(0xB454E4A179DD1877), SKY_U64(0x29BABE4598C311FB), /* ~= 10^132 */
            SKY_U64(0xE16A1DC9D8545E94), SKY_U64(0xF4296DD6FEF3D67A), /* ~= 10^133 */
            SKY_U64(0x8CE2529E2734BB1D), SKY_U64(0x1899E4A65F58660C), /* ~= 10^134 */
            SKY_U64(0xB01AE745B101E9E4), SKY_U64(0x5EC05DCFF72E7F8F), /* ~= 10^135 */
            SKY_U64(0xDC21A1171D42645D), SKY_U64(0x76707543F4FA1F73), /* ~= 10^136 */
            SKY_U64(0x899504AE72497EBA), SKY_U64(0x6A06494A791C53A8), /* ~= 10^137 */
            SKY_U64(0xABFA45DA0EDBDE69), SKY_U64(0x0487DB9D17636892), /* ~= 10^138 */
            SKY_U64(0xD6F8D7509292D603), SKY_U64(0x45A9D2845D3C42B6), /* ~= 10^139 */
            SKY_U64(0x865B86925B9BC5C2), SKY_U64(0x0B8A2392BA45A9B2), /* ~= 10^140 */
            SKY_U64(0xA7F26836F282B732), SKY_U64(0x8E6CAC7768D7141E), /* ~= 10^141 */
            SKY_U64(0xD1EF0244AF2364FF), SKY_U64(0x3207D795430CD926), /* ~= 10^142 */
            SKY_U64(0x8335616AED761F1F), SKY_U64(0x7F44E6BD49E807B8), /* ~= 10^143 */
            SKY_U64(0xA402B9C5A8D3A6E7), SKY_U64(0x5F16206C9C6209A6), /* ~= 10^144 */
            SKY_U64(0xCD036837130890A1), SKY_U64(0x36DBA887C37A8C0F), /* ~= 10^145 */
            SKY_U64(0x802221226BE55A64), SKY_U64(0xC2494954DA2C9789), /* ~= 10^146 */
            SKY_U64(0xA02AA96B06DEB0FD), SKY_U64(0xF2DB9BAA10B7BD6C), /* ~= 10^147 */
            SKY_U64(0xC83553C5C8965D3D), SKY_U64(0x6F92829494E5ACC7), /* ~= 10^148 */
            SKY_U64(0xFA42A8B73ABBF48C), SKY_U64(0xCB772339BA1F17F9), /* ~= 10^149 */
            SKY_U64(0x9C69A97284B578D7), SKY_U64(0xFF2A760414536EFB), /* ~= 10^150 */
            SKY_U64(0xC38413CF25E2D70D), SKY_U64(0xFEF5138519684ABA), /* ~= 10^151 */
            SKY_U64(0xF46518C2EF5B8CD1), SKY_U64(0x7EB258665FC25D69), /* ~= 10^152 */
            SKY_U64(0x98BF2F79D5993802), SKY_U64(0xEF2F773FFBD97A61), /* ~= 10^153 */
            SKY_U64(0xBEEEFB584AFF8603), SKY_U64(0xAAFB550FFACFD8FA), /* ~= 10^154 */
            SKY_U64(0xEEAABA2E5DBF6784), SKY_U64(0x95BA2A53F983CF38), /* ~= 10^155 */
            SKY_U64(0x952AB45CFA97A0B2), SKY_U64(0xDD945A747BF26183), /* ~= 10^156 */
            SKY_U64(0xBA756174393D88DF), SKY_U64(0x94F971119AEEF9E4), /* ~= 10^157 */
            SKY_U64(0xE912B9D1478CEB17), SKY_U64(0x7A37CD5601AAB85D), /* ~= 10^158 */
            SKY_U64(0x91ABB422CCB812EE), SKY_U64(0xAC62E055C10AB33A), /* ~= 10^159 */
            SKY_U64(0xB616A12B7FE617AA), SKY_U64(0x577B986B314D6009), /* ~= 10^160 */
            SKY_U64(0xE39C49765FDF9D94), SKY_U64(0xED5A7E85FDA0B80B), /* ~= 10^161 */
            SKY_U64(0x8E41ADE9FBEBC27D), SKY_U64(0x14588F13BE847307), /* ~= 10^162 */
            SKY_U64(0xB1D219647AE6B31C), SKY_U64(0x596EB2D8AE258FC8), /* ~= 10^163 */
            SKY_U64(0xDE469FBD99A05FE3), SKY_U64(0x6FCA5F8ED9AEF3BB), /* ~= 10^164 */
            SKY_U64(0x8AEC23D680043BEE), SKY_U64(0x25DE7BB9480D5854), /* ~= 10^165 */
            SKY_U64(0xADA72CCC20054AE9), SKY_U64(0xAF561AA79A10AE6A), /* ~= 10^166 */
            SKY_U64(0xD910F7FF28069DA4), SKY_U64(0x1B2BA1518094DA04), /* ~= 10^167 */
            SKY_U64(0x87AA9AFF79042286), SKY_U64(0x90FB44D2F05D0842), /* ~= 10^168 */
            SKY_U64(0xA99541BF57452B28), SKY_U64(0x353A1607AC744A53), /* ~= 10^169 */
            SKY_U64(0xD3FA922F2D1675F2), SKY_U64(0x42889B8997915CE8), /* ~= 10^170 */
            SKY_U64(0x847C9B5D7C2E09B7), SKY_U64(0x69956135FEBADA11), /* ~= 10^171 */
            SKY_U64(0xA59BC234DB398C25), SKY_U64(0x43FAB9837E699095), /* ~= 10^172 */
            SKY_U64(0xCF02B2C21207EF2E), SKY_U64(0x94F967E45E03F4BB), /* ~= 10^173 */
            SKY_U64(0x8161AFB94B44F57D), SKY_U64(0x1D1BE0EEBAC278F5), /* ~= 10^174 */
            SKY_U64(0xA1BA1BA79E1632DC), SKY_U64(0x6462D92A69731732), /* ~= 10^175 */
            SKY_U64(0xCA28A291859BBF93), SKY_U64(0x7D7B8F7503CFDCFE), /* ~= 10^176 */
            SKY_U64(0xFCB2CB35E702AF78), SKY_U64(0x5CDA735244C3D43E), /* ~= 10^177 */
            SKY_U64(0x9DEFBF01B061ADAB), SKY_U64(0x3A0888136AFA64A7), /* ~= 10^178 */
            SKY_U64(0xC56BAEC21C7A1916), SKY_U64(0x088AAA1845B8FDD0), /* ~= 10^179 */
            SKY_U64(0xF6C69A72A3989F5B), SKY_U64(0x8AAD549E57273D45), /* ~= 10^180 */
            SKY_U64(0x9A3C2087A63F6399), SKY_U64(0x36AC54E2F678864B), /* ~= 10^181 */
            SKY_U64(0xC0CB28A98FCF3C7F), SKY_U64(0x84576A1BB416A7DD), /* ~= 10^182 */
            SKY_U64(0xF0FDF2D3F3C30B9F), SKY_U64(0x656D44A2A11C51D5), /* ~= 10^183 */
            SKY_U64(0x969EB7C47859E743), SKY_U64(0x9F644AE5A4B1B325), /* ~= 10^184 */
            SKY_U64(0xBC4665B596706114), SKY_U64(0x873D5D9F0DDE1FEE), /* ~= 10^185 */
            SKY_U64(0xEB57FF22FC0C7959), SKY_U64(0xA90CB506D155A7EA), /* ~= 10^186 */
            SKY_U64(0x9316FF75DD87CBD8), SKY_U64(0x09A7F12442D588F2), /* ~= 10^187 */
            SKY_U64(0xB7DCBF5354E9BECE), SKY_U64(0x0C11ED6D538AEB2F), /* ~= 10^188 */
            SKY_U64(0xE5D3EF282A242E81), SKY_U64(0x8F1668C8A86DA5FA), /* ~= 10^189 */
            SKY_U64(0x8FA475791A569D10), SKY_U64(0xF96E017D694487BC), /* ~= 10^190 */
            SKY_U64(0xB38D92D760EC4455), SKY_U64(0x37C981DCC395A9AC), /* ~= 10^191 */
            SKY_U64(0xE070F78D3927556A), SKY_U64(0x85BBE253F47B1417), /* ~= 10^192 */
            SKY_U64(0x8C469AB843B89562), SKY_U64(0x93956D7478CCEC8E), /* ~= 10^193 */
            SKY_U64(0xAF58416654A6BABB), SKY_U64(0x387AC8D1970027B2), /* ~= 10^194 */
            SKY_U64(0xDB2E51BFE9D0696A), SKY_U64(0x06997B05FCC0319E), /* ~= 10^195 */
            SKY_U64(0x88FCF317F22241E2), SKY_U64(0x441FECE3BDF81F03), /* ~= 10^196 */
            SKY_U64(0xAB3C2FDDEEAAD25A), SKY_U64(0xD527E81CAD7626C3), /* ~= 10^197 */
            SKY_U64(0xD60B3BD56A5586F1), SKY_U64(0x8A71E223D8D3B074), /* ~= 10^198 */
            SKY_U64(0x85C7056562757456), SKY_U64(0xF6872D5667844E49), /* ~= 10^199 */
            SKY_U64(0xA738C6BEBB12D16C), SKY_U64(0xB428F8AC016561DB), /* ~= 10^200 */
            SKY_U64(0xD106F86E69D785C7), SKY_U64(0xE13336D701BEBA52), /* ~= 10^201 */
            SKY_U64(0x82A45B450226B39C), SKY_U64(0xECC0024661173473), /* ~= 10^202 */
            SKY_U64(0xA34D721642B06084), SKY_U64(0x27F002D7F95D0190), /* ~= 10^203 */
            SKY_U64(0xCC20CE9BD35C78A5), SKY_U64(0x31EC038DF7B441F4), /* ~= 10^204 */
            SKY_U64(0xFF290242C83396CE), SKY_U64(0x7E67047175A15271), /* ~= 10^205 */
            SKY_U64(0x9F79A169BD203E41), SKY_U64(0x0F0062C6E984D386), /* ~= 10^206 */
            SKY_U64(0xC75809C42C684DD1), SKY_U64(0x52C07B78A3E60868), /* ~= 10^207 */
            SKY_U64(0xF92E0C3537826145), SKY_U64(0xA7709A56CCDF8A82), /* ~= 10^208 */
            SKY_U64(0x9BBCC7A142B17CCB), SKY_U64(0x88A66076400BB691), /* ~= 10^209 */
            SKY_U64(0xC2ABF989935DDBFE), SKY_U64(0x6ACFF893D00EA435), /* ~= 10^210 */
            SKY_U64(0xF356F7EBF83552FE), SKY_U64(0x0583F6B8C4124D43), /* ~= 10^211 */
            SKY_U64(0x98165AF37B2153DE), SKY_U64(0xC3727A337A8B704A), /* ~= 10^212 */
            SKY_U64(0xBE1BF1B059E9A8D6), SKY_U64(0x744F18C0592E4C5C), /* ~= 10^213 */
            SKY_U64(0xEDA2EE1C7064130C), SKY_U64(0x1162DEF06F79DF73), /* ~= 10^214 */
            SKY_U64(0x9485D4D1C63E8BE7), SKY_U64(0x8ADDCB5645AC2BA8), /* ~= 10^215 */
            SKY_U64(0xB9A74A0637CE2EE1), SKY_U64(0x6D953E2BD7173692), /* ~= 10^216 */
            SKY_U64(0xE8111C87C5C1BA99), SKY_U64(0xC8FA8DB6CCDD0437), /* ~= 10^217 */
            SKY_U64(0x910AB1D4DB9914A0), SKY_U64(0x1D9C9892400A22A2), /* ~= 10^218 */
            SKY_U64(0xB54D5E4A127F59C8), SKY_U64(0x2503BEB6D00CAB4B), /* ~= 10^219 */
            SKY_U64(0xE2A0B5DC971F303A), SKY_U64(0x2E44AE64840FD61D), /* ~= 10^220 */
            SKY_U64(0x8DA471A9DE737E24), SKY_U64(0x5CEAECFED289E5D2), /* ~= 10^221 */
            SKY_U64(0xB10D8E1456105DAD), SKY_U64(0x7425A83E872C5F47), /* ~= 10^222 */
            SKY_U64(0xDD50F1996B947518), SKY_U64(0xD12F124E28F77719), /* ~= 10^223 */
            SKY_U64(0x8A5296FFE33CC92F), SKY_U64(0x82BD6B70D99AAA6F), /* ~= 10^224 */
            SKY_U64(0xACE73CBFDC0BFB7B), SKY_U64(0x636CC64D1001550B), /* ~= 10^225 */
            SKY_U64(0xD8210BEFD30EFA5A), SKY_U64(0x3C47F7E05401AA4E), /* ~= 10^226 */
            SKY_U64(0x8714A775E3E95C78), SKY_U64(0x65ACFAEC34810A71), /* ~= 10^227 */
            SKY_U64(0xA8D9D1535CE3B396), SKY_U64(0x7F1839A741A14D0D), /* ~= 10^228 */
            SKY_U64(0xD31045A8341CA07C), SKY_U64(0x1EDE48111209A050), /* ~= 10^229 */
            SKY_U64(0x83EA2B892091E44D), SKY_U64(0x934AED0AAB460432), /* ~= 10^230 */
            SKY_U64(0xA4E4B66B68B65D60), SKY_U64(0xF81DA84D5617853F), /* ~= 10^231 */
            SKY_U64(0xCE1DE40642E3F4B9), SKY_U64(0x36251260AB9D668E), /* ~= 10^232 */
            SKY_U64(0x80D2AE83E9CE78F3), SKY_U64(0xC1D72B7C6B426019), /* ~= 10^233 */
            SKY_U64(0xA1075A24E4421730), SKY_U64(0xB24CF65B8612F81F), /* ~= 10^234 */
            SKY_U64(0xC94930AE1D529CFC), SKY_U64(0xDEE033F26797B627), /* ~= 10^235 */
            SKY_U64(0xFB9B7CD9A4A7443C), SKY_U64(0x169840EF017DA3B1), /* ~= 10^236 */
            SKY_U64(0x9D412E0806E88AA5), SKY_U64(0x8E1F289560EE864E), /* ~= 10^237 */
            SKY_U64(0xC491798A08A2AD4E), SKY_U64(0xF1A6F2BAB92A27E2), /* ~= 10^238 */
            SKY_U64(0xF5B5D7EC8ACB58A2), SKY_U64(0xAE10AF696774B1DB), /* ~= 10^239 */
            SKY_U64(0x9991A6F3D6BF1765), SKY_U64(0xACCA6DA1E0A8EF29), /* ~= 10^240 */
            SKY_U64(0xBFF610B0CC6EDD3F), SKY_U64(0x17FD090A58D32AF3), /* ~= 10^241 */
            SKY_U64(0xEFF394DCFF8A948E), SKY_U64(0xDDFC4B4CEF07F5B0), /* ~= 10^242 */
            SKY_U64(0x95F83D0A1FB69CD9), SKY_U64(0x4ABDAF101564F98E), /* ~= 10^243 */
            SKY_U64(0xBB764C4CA7A4440F), SKY_U64(0x9D6D1AD41ABE37F1), /* ~= 10^244 */
            SKY_U64(0xEA53DF5FD18D5513), SKY_U64(0x84C86189216DC5ED), /* ~= 10^245 */
            SKY_U64(0x92746B9BE2F8552C), SKY_U64(0x32FD3CF5B4E49BB4), /* ~= 10^246 */
            SKY_U64(0xB7118682DBB66A77), SKY_U64(0x3FBC8C33221DC2A1), /* ~= 10^247 */
            SKY_U64(0xE4D5E82392A40515), SKY_U64(0x0FABAF3FEAA5334A), /* ~= 10^248 */
            SKY_U64(0x8F05B1163BA6832D), SKY_U64(0x29CB4D87F2A7400E), /* ~= 10^249 */
            SKY_U64(0xB2C71D5BCA9023F8), SKY_U64(0x743E20E9EF511012), /* ~= 10^250 */
            SKY_U64(0xDF78E4B2BD342CF6), SKY_U64(0x914DA9246B255416), /* ~= 10^251 */
            SKY_U64(0x8BAB8EEFB6409C1A), SKY_U64(0x1AD089B6C2F7548E), /* ~= 10^252 */
            SKY_U64(0xAE9672ABA3D0C320), SKY_U64(0xA184AC2473B529B1), /* ~= 10^253 */
            SKY_U64(0xDA3C0F568CC4F3E8), SKY_U64(0xC9E5D72D90A2741E), /* ~= 10^254 */
            SKY_U64(0x8865899617FB1871), SKY_U64(0x7E2FA67C7A658892), /* ~= 10^255 */
            SKY_U64(0xAA7EEBFB9DF9DE8D), SKY_U64(0xDDBB901B98FEEAB7), /* ~= 10^256 */
            SKY_U64(0xD51EA6FA85785631), SKY_U64(0x552A74227F3EA565), /* ~= 10^257 */
            SKY_U64(0x8533285C936B35DE), SKY_U64(0xD53A88958F87275F), /* ~= 10^258 */
            SKY_U64(0xA67FF273B8460356), SKY_U64(0x8A892ABAF368F137), /* ~= 10^259 */
            SKY_U64(0xD01FEF10A657842C), SKY_U64(0x2D2B7569B0432D85), /* ~= 10^260 */
            SKY_U64(0x8213F56A67F6B29B), SKY_U64(0x9C3B29620E29FC73), /* ~= 10^261 */
            SKY_U64(0xA298F2C501F45F42), SKY_U64(0x8349F3BA91B47B8F), /* ~= 10^262 */
            SKY_U64(0xCB3F2F7642717713), SKY_U64(0x241C70A936219A73), /* ~= 10^263 */
            SKY_U64(0xFE0EFB53D30DD4D7), SKY_U64(0xED238CD383AA0110), /* ~= 10^264 */
            SKY_U64(0x9EC95D1463E8A506), SKY_U64(0xF4363804324A40AA), /* ~= 10^265 */
            SKY_U64(0xC67BB4597CE2CE48), SKY_U64(0xB143C6053EDCD0D5), /* ~= 10^266 */
            SKY_U64(0xF81AA16FDC1B81DA), SKY_U64(0xDD94B7868E94050A), /* ~= 10^267 */
            SKY_U64(0x9B10A4E5E9913128), SKY_U64(0xCA7CF2B4191C8326), /* ~= 10^268 */
            SKY_U64(0xC1D4CE1F63F57D72), SKY_U64(0xFD1C2F611F63A3F0), /* ~= 10^269 */
            SKY_U64(0xF24A01A73CF2DCCF), SKY_U64(0xBC633B39673C8CEC), /* ~= 10^270 */
            SKY_U64(0x976E41088617CA01), SKY_U64(0xD5BE0503E085D813), /* ~= 10^271 */
            SKY_U64(0xBD49D14AA79DBC82), SKY_U64(0x4B2D8644D8A74E18), /* ~= 10^272 */
            SKY_U64(0xEC9C459D51852BA2), SKY_U64(0xDDF8E7D60ED1219E), /* ~= 10^273 */
            SKY_U64(0x93E1AB8252F33B45), SKY_U64(0xCABB90E5C942B503), /* ~= 10^274 */
            SKY_U64(0xB8DA1662E7B00A17), SKY_U64(0x3D6A751F3B936243), /* ~= 10^275 */
            SKY_U64(0xE7109BFBA19C0C9D), SKY_U64(0x0CC512670A783AD4), /* ~= 10^276 */
            SKY_U64(0x906A617D450187E2), SKY_U64(0x27FB2B80668B24C5), /* ~= 10^277 */
            SKY_U64(0xB484F9DC9641E9DA), SKY_U64(0xB1F9F660802DEDF6), /* ~= 10^278 */
            SKY_U64(0xE1A63853BBD26451), SKY_U64(0x5E7873F8A0396973), /* ~= 10^279 */
            SKY_U64(0x8D07E33455637EB2), SKY_U64(0xDB0B487B6423E1E8), /* ~= 10^280 */
            SKY_U64(0xB049DC016ABC5E5F), SKY_U64(0x91CE1A9A3D2CDA62), /* ~= 10^281 */
            SKY_U64(0xDC5C5301C56B75F7), SKY_U64(0x7641A140CC7810FB), /* ~= 10^282 */
            SKY_U64(0x89B9B3E11B6329BA), SKY_U64(0xA9E904C87FCB0A9D), /* ~= 10^283 */
            SKY_U64(0xAC2820D9623BF429), SKY_U64(0x546345FA9FBDCD44), /* ~= 10^284 */
            SKY_U64(0xD732290FBACAF133), SKY_U64(0xA97C177947AD4095), /* ~= 10^285 */
            SKY_U64(0x867F59A9D4BED6C0), SKY_U64(0x49ED8EABCCCC485D), /* ~= 10^286 */
            SKY_U64(0xA81F301449EE8C70), SKY_U64(0x5C68F256BFFF5A74), /* ~= 10^287 */
            SKY_U64(0xD226FC195C6A2F8C), SKY_U64(0x73832EEC6FFF3111), /* ~= 10^288 */
            SKY_U64(0x83585D8FD9C25DB7), SKY_U64(0xC831FD53C5FF7EAB), /* ~= 10^289 */
            SKY_U64(0xA42E74F3D032F525), SKY_U64(0xBA3E7CA8B77F5E55), /* ~= 10^290 */
            SKY_U64(0xCD3A1230C43FB26F), SKY_U64(0x28CE1BD2E55F35EB), /* ~= 10^291 */
            SKY_U64(0x80444B5E7AA7CF85), SKY_U64(0x7980D163CF5B81B3), /* ~= 10^292 */
            SKY_U64(0xA0555E361951C366), SKY_U64(0xD7E105BCC332621F), /* ~= 10^293 */
            SKY_U64(0xC86AB5C39FA63440), SKY_U64(0x8DD9472BF3FEFAA7), /* ~= 10^294 */
            SKY_U64(0xFA856334878FC150), SKY_U64(0xB14F98F6F0FEB951), /* ~= 10^295 */
            SKY_U64(0x9C935E00D4B9D8D2), SKY_U64(0x6ED1BF9A569F33D3), /* ~= 10^296 */
            SKY_U64(0xC3B8358109E84F07), SKY_U64(0x0A862F80EC4700C8), /* ~= 10^297 */
            SKY_U64(0xF4A642E14C6262C8), SKY_U64(0xCD27BB612758C0FA), /* ~= 10^298 */
            SKY_U64(0x98E7E9CCCFBD7DBD), SKY_U64(0x8038D51CB897789C), /* ~= 10^299 */
            SKY_U64(0xBF21E44003ACDD2C), SKY_U64(0xE0470A63E6BD56C3), /* ~= 10^300 */
            SKY_U64(0xEEEA5D5004981478), SKY_U64(0x1858CCFCE06CAC74), /* ~= 10^301 */
            SKY_U64(0x95527A5202DF0CCB), SKY_U64(0x0F37801E0C43EBC8), /* ~= 10^302 */
            SKY_U64(0xBAA718E68396CFFD), SKY_U64(0xD30560258F54E6BA), /* ~= 10^303 */
            SKY_U64(0xE950DF20247C83FD), SKY_U64(0x47C6B82EF32A2069), /* ~= 10^304 */
            SKY_U64(0x91D28B7416CDD27E), SKY_U64(0x4CDC331D57FA5441), /* ~= 10^305 */
            SKY_U64(0xB6472E511C81471D), SKY_U64(0xE0133FE4ADF8E952), /* ~= 10^306 */
            SKY_U64(0xE3D8F9E563A198E5), SKY_U64(0x58180FDDD97723A6), /* ~= 10^307 */
            SKY_U64(0x8E679C2F5E44FF8F), SKY_U64(0x570F09EAA7EA7648), /* ~= 10^308 */
            SKY_U64(0xB201833B35D63F73), SKY_U64(0x2CD2CC6551E513DA), /* ~= 10^309 */
            SKY_U64(0xDE81E40A034BCF4F), SKY_U64(0xF8077F7EA65E58D1), /* ~= 10^310 */
            SKY_U64(0x8B112E86420F6191), SKY_U64(0xFB04AFAF27FAF782), /* ~= 10^311 */
            SKY_U64(0xADD57A27D29339F6), SKY_U64(0x79C5DB9AF1F9B563), /* ~= 10^312 */
            SKY_U64(0xD94AD8B1C7380874), SKY_U64(0x18375281AE7822BC), /* ~= 10^313 */
            SKY_U64(0x87CEC76F1C830548), SKY_U64(0x8F2293910D0B15B5), /* ~= 10^314 */
            SKY_U64(0xA9C2794AE3A3C69A), SKY_U64(0xB2EB3875504DDB22), /* ~= 10^315 */
            SKY_U64(0xD433179D9C8CB841), SKY_U64(0x5FA60692A46151EB), /* ~= 10^316 */
            SKY_U64(0x849FEEC281D7F328), SKY_U64(0xDBC7C41BA6BCD333), /* ~= 10^317 */
            SKY_U64(0xA5C7EA73224DEFF3), SKY_U64(0x12B9B522906C0800), /* ~= 10^318 */
            SKY_U64(0xCF39E50FEAE16BEF), SKY_U64(0xD768226B34870A00), /* ~= 10^319 */
            SKY_U64(0x81842F29F2CCE375), SKY_U64(0xE6A1158300D46640), /* ~= 10^320 */
            SKY_U64(0xA1E53AF46F801C53), SKY_U64(0x60495AE3C1097FD0), /* ~= 10^321 */
            SKY_U64(0xCA5E89B18B602368), SKY_U64(0x385BB19CB14BDFC4), /* ~= 10^322 */
            SKY_U64(0xFCF62C1DEE382C42), SKY_U64(0x46729E03DD9ED7B5), /* ~= 10^323 */
            SKY_U64(0x9E19DB92B4E31BA9), SKY_U64(0x6C07A2C26A8346D1)  /* ~= 10^324 */
    };

    sky_bool_t is_even, lower_bound_closer, u_inside, w_inside, round_up;
    sky_u64_t s, sp, cb, cbl, cbr, vb, vbl, vbr, pow10hi, pow10lo, upper, lower, mid;
    sky_i32_t k, h, exp10;

    is_even = !(sig_bin & 1);
    lower_bound_closer = (sig_raw == 0 && exp_raw > 1);

    cbl = 4 * sig_bin - 2 + lower_bound_closer;
    cb = 4 * sig_bin;
    cbr = 4 * sig_bin + 2;

    /* exp_bin: [-1074, 971]                                                  */
    /* k = lower_bound_closer ? floor(log10(pow(2, exp_bin)))                 */
    /*                        : floor(log10(pow(2, exp_bin) * 3.0 / 4.0))     */
    /*   = lower_bound_closer ? floor(exp_bin * log10(2))                     */
    /*                        : floor(exp_bin * log10(2) + log10(3.0 / 4.0))  */
    k = (sky_i32_t) (exp_bin * 315653 - (lower_bound_closer ? 131237 : 0)) >> 20;

    /* k: [-324, 292]                                                         */
    /* h = exp_bin + floor(log2(pow(10, e)))                                  */
    /*   = exp_bin + floor(log2(10) * e)                                      */
    exp10 = -k;
    h = exp_bin + ((exp10 * 217707) >> 16) + 1;

    const sky_i32_t idx = exp10 + 343;
    pow10hi = pow10_sig_table[idx << 1];
    pow10lo = pow10_sig_table[(idx << 1) + 1];

    pow10lo += (exp10 < 0 ||
                exp10 > 55);
    vbl = round_to_odd(pow10hi, pow10lo, cbl << h);
    vb = round_to_odd(pow10hi, pow10lo, cb << h);
    vbr = round_to_odd(pow10hi, pow10lo, cbr << h);

    lower = vbl + !is_even;
    upper = vbr - !is_even;

    s = vb / 4;
    if (s >= 10) {
        sp = s / 10;
        u_inside = (lower <= 40 * sp);
        w_inside = (upper >= 40 * sp + 40);
        if (u_inside != w_inside) {
            *sig_dec = sp + w_inside;
            *exp_dec = k + 1;
            return;
        }
    }

    u_inside = (lower <= 4 * s);
    w_inside = (upper >= 4 * s + 4);

    mid = 4 * s + 2;
    round_up = (vb > mid) || (vb == mid && (s & 1) != 0);

    *sig_dec = s + ((u_inside != w_inside) ? w_inside : round_up);
    *exp_dec = k;
}

static sky_u8_t
f64_encode_trim(const sky_uchar_t *src, sky_u8_t len) {
    src += len;

    while (len >= 8) {
        if (!sky_str8_cmp(src - 8, '0', '0', '0', '0', '0', '0', '0', '0')) {
            goto go_8_len;
        }
        src -= 8;
        len -= 8;
    }

    switch (len) {
        case 2:
        go_2_len:
            len -= *(--src) == '0';
            break;
        case 3:
        go_3_len:
            if (sky_str2_cmp(src - 2, '0', '0')) {
                len -= 2;
                break;
            }
            goto go_2_len;
        case 4:
        go_4_len:
            if (sky_str2_cmp(src - 2, '0', '0')) {
                len -= 2;
                src -= 2;
            }
            goto go_2_len;
        case 5:
            if (sky_str4_cmp(src - 4, '0', '0', '0', '0')) {
                len -= 4;
                break;
            }
            goto go_4_len;
        case 6:
            if (sky_str4_cmp(src - 4, '0', '0', '0', '0')) {
                len -= 4;
                src -= 4;
                goto go_2_len;
            }
            goto go_4_len;
        case 7:
            if (sky_str4_cmp(src - 4, '0', '0', '0', '0')) {
                len -= 4;
                src -= 4;
                goto go_3_len;
            }
            goto go_4_len;
        case 8:
        go_8_len:
            if (sky_str4_cmp(src - 4, '0', '0', '0', '0')) {
                len -= 4;
                src -= 4;
                goto go_4_len;
            }
            goto go_4_len;
        default:
            break;
    }
    return len;
}

